10110222400 has 42 divisors (see below), whose sum is σ = 24877469930. Its totient is φ = 4044088320.

The previous prime is 10110222391. The next prime is 10110222403. The reversal of 10110222400 is 422201101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1805910016 + 8304312384 = 42496^2 + 91128^2 .

It is not an unprimeable number, because it can be changed into a prime (10110222403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3157845 + ... + 3161044.

Almost surely, 2^10110222400 is an apocalyptic number.

10110222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110222400 is an abundant number, since it is smaller than the sum of its proper divisors (14767247530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10110222400 is an equidigital number, since it uses as much as digits as its factorization.

10110222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318911 (or 6318896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10110222400 its reverse (422201101), we get a palindrome (10532423501).

The spelling of 10110222400 in words is "ten billion, one hundred ten million, two hundred twenty-two thousand, four hundred".